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Finding the Fourth Proportional to 23,857.58, 35,788.24 and 6,327.40

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Solution

The fourth proportional to 23,857.58, 35,788.24 and 6,327.40 is: 9,491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.58 : 35,788.24 = 6,327.40 : x
  2. Step 2: Convert to fraction form
    23,857.58/35,788.24 = 6,327.40/x
  3. Step 3: Cross multiply
    23,857.58x = 35,788.24 × 6,327.40
  4. Step 4: Simplify right side
    23,857.58x = 226,446,641.85
  5. Step 5: Solve for x
    x = 226,446,641.85/23,857.58
  6. Step 6: Final answer
    x = 9,491.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.